455663669400 has 240 divisors, whose sum is σ = 1587387340440. Its totient is φ = 121141785600.

The previous prime is 455663669339. The next prime is 455663669411. The reversal of 455663669400 is 4966366554.

455663669400 is a `hidden beast` number, since 4 + 5 + 566 + 36 + 6 + 9 + 40 + 0 = 666.

It is a super-2 number, since 2×455663669400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5319712 + ... + 5404688.

Almost surely, 2^455663669400 is an apocalyptic number.

455663669400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455663669400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793693670220).

455663669400 is an abundant number, since it is smaller than the sum of its proper divisors (1131723671040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

455663669400 is a wasteful number, since it uses less digits than its factorization.

455663669400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85336 (or 85318 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 455663669400 in words is "four hundred fifty-five billion, six hundred sixty-three million, six hundred sixty-nine thousand, four hundred".